Details

analyze409.0ms (5.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample56.0ms (0.8%)

Algorithm

1×

intervals

Results

42.0ms	241×	body	256	valid
2.0ms	28×	body	128	nan
1.0ms	15×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify346.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	4882	48
1	4882	48

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 36.3b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.8b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2457`
11×	`cbrt-prod_binary64_2464`
10×	`*-un-lft-identity_binary64_2436`
9×	`sqrt-prod_binary64_2451`
8×	`add-cube-cbrt_binary64_2468`
6×	`pow1_binary64_2494` `times-frac_binary64_2442`
4×	`add-log-exp_binary64_2472` `add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469` `sqrt-div_binary64_2452` `difference-of-squares_binary64_2405`
2×	`pow1/3_binary64_2515` `pow1/2_binary64_2513` `flip3--_binary64_2440` `rem-sqrt-square_binary64_2449` `flip--_binary64_2411` `cbrt-div_binary64_2465` `sqrt-pow1_binary64_2453`
1×	`distribute-lft-out--_binary64_2390` `div-inv_binary64_2433` `associate-*l/_binary64_2381`

Counts

4 → 61

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
9.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.0s (14.4%)

Counts

4 → 12

Calls

4 calls:

454.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
442.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4942	1656
1	4942	1656

prune165.0ms (2.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	54	19	73
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	56	19	75

Merged error: 32.1b

Counts

75 → 19

Compiler

Compiled 3496 to 1337 computations (61.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
8.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_2457` `sqrt-prod_binary64_2451`
6×	`add-log-exp_binary64_2472` `add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436` `pow1_binary64_2494`
4×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469` `sqrt-div_binary64_2452`
3×	`flip3--_binary64_2440` `flip--_binary64_2411` `difference-of-squares_binary64_2405`
2×	`pow1/2_binary64_2513` `rem-sqrt-square_binary64_2449` `sqrt-pow1_binary64_2453`
1×	`pow1/3_binary64_2515` `diff-log_binary64_2525` `cbrt-prod_binary64_2464` `associate-*l/_binary64_2381` `cbrt-div_binary64_2465` `sub-neg_binary64_2429`

Counts

4 → 54

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series606.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

451.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
54.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
43.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4929	1095
1	4929	1095

prune129.0ms (1.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	63	22	85

Merged error: 31.0b

Counts

85 → 22

Compiler

Compiled 3293 to 1327 computations (59.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
8.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_2457` `sqrt-prod_binary64_2451`
6×	`add-log-exp_binary64_2472` `add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436` `pow1_binary64_2494`
4×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469` `sqrt-div_binary64_2452`
3×	`flip3--_binary64_2440` `flip--_binary64_2411` `difference-of-squares_binary64_2405`
2×	`pow1/2_binary64_2513` `rem-sqrt-square_binary64_2449` `sqrt-pow1_binary64_2453`
1×	`pow1/3_binary64_2515` `diff-log_binary64_2525` `cbrt-prod_binary64_2464` `associate-*l/_binary64_2381` `cbrt-div_binary64_2465` `sub-neg_binary64_2429`

Counts

4 → 54

Calls

4 calls:

10.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series584.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

437.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
49.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
43.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4929	1095
1	4929	1095

prune138.0ms (2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	3	18	21
Picked	1	0	1
Done	0	0	0
Total	64	24	88

Merged error: 31.0b

Counts

88 → 24

Compiler

Compiled 3357 to 1370 computations (59.2% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`sqrt-prod_binary64_2451`
12×	`add-sqr-sqrt_binary64_2457`
8×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436` `pow1_binary64_2494` `sqrt-div_binary64_2452`
4×	`add-log-exp_binary64_2472` `pow1/2_binary64_2513` `flip3--_binary64_2440` `add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469` `rem-sqrt-square_binary64_2449` `flip--_binary64_2411` `sqrt-pow1_binary64_2453` `difference-of-squares_binary64_2405`

Counts

4 → 64

Calls

4 calls:

5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series207.0ms (3%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
52.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
50.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
49.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5005	1068

prune132.0ms (1.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	76	24	100

Merged error: 31.0b

Counts

100 → 24

Compiler

Compiled 4652 to 973 computations (79.1% saved)

regimes268.0ms (3.8%)

Compiler: Compiled 3940 to 2154 computations (45.3% saved)

bsearch103.0ms (1.5%)

Steps

Iters	Range		Point
10	4.198957330100387e-207	9.110139985924514e-196	8.95246672703442e-196

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	97
1	75	97

end0.0ms (0%)

sample2.4s (34.3%)

Algorithm

1×

intervals

Results

1.3s	7581×	body	256	valid
102.0ms	1212×	body	128	nan
35.0ms	419×	body	128	valid

Compiler

Compiled 1082 to 593 computations (45.2% saved)

Details

analyze409.0ms (5.8%)

sample56.0ms (0.8%)

simplify346.0ms (4.9%)

prune8.0ms (0.1%)

localize16.0ms (0.2%)

rewrite35.0ms (0.5%)

series1.0s (14.4%)

simplify54.0ms (0.8%)

prune165.0ms (2.3%)

localize17.0ms (0.2%)

rewrite29.0ms (0.4%)

series606.0ms (8.6%)

simplify67.0ms (0.9%)

prune129.0ms (1.8%)

localize17.0ms (0.2%)

rewrite30.0ms (0.4%)

series584.0ms (8.3%)

simplify67.0ms (1%)

prune138.0ms (2%)

localize25.0ms (0.4%)

rewrite30.0ms (0.4%)

series207.0ms (3%)

simplify64.0ms (0.9%)

prune132.0ms (1.9%)

regimes268.0ms (3.8%)

bsearch103.0ms (1.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (34.3%)

Profiling